Answer:
3244.5
Step-by-step explanation:
LxW=A
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?
Answer:
It's not a real solution
Step-by-step explanation:
100 POINTS!!! Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units (3, -1) and (5, 4) (2, 3) and (4, 5) (-5, 7) and (8, 5) (-2, 4) and (3, -1)
Answer:
(3, -1) -> (5, 4) = √29 or 5.38516
(2, 3) -> (4, 5) = 2√2 or 2.82843
(-5, 7) -> (8, 5) = √173 or 13.1529
(-2, 4) -> (3, -1) = 5√2 or 7.07107
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug the coordinates into the distance formula:
[tex]d=\sqrt{(5-3)^2+(4+1)^2} = \sqrt{29}[/tex]
[tex]d=\sqrt{(4-2)^2+(5-3)^2} = 2\sqrt{2}[/tex]
[tex]d=\sqrt{(8+5)^2+(5-7)^2} = \sqrt{173}[/tex]
[tex]d=\sqrt{(3+2)^2+(-1-4)^2} = 5\sqrt{2}[/tex]
To get the decimals, we evaluate the square roots:
√29 = 5.38516
2√2 = 2.82843
√173 = 13.1529
5√2 = 7.07107
Answer:
d = √[(x₂ - x₁)² + (y₂-y₁)²]
(3, -1) and (5, 4)
√(5−3)²+(4-(-1)²
√(2)²+(5)²
√4+25
√29 = 5.385164807134504 = 5.39
(2,3) and (4,5)
√(4-2)v+(5−3)²
√(2)²+(2)²
√4+4
√8 ≈2.8284271247461903 = 2.83
(-5, 7) and (8,5)
√(8−−5)²+(5−7)²
√(8++0)2+(5−7)²
√(13)²+(−2)²
√169+4
√173 ≈ 13.152946437965905 = 13.15
(-2, 4) and (3, -1)
(3− −2)²+(−1−4)²
√(3++0)²+(−1−4)²
√(5)² + (−5)²
√25+25
√50 ≈ 7.0710678118654755 = 7.07
What is the length of DF?
Answer:
7.06
Step-by-step explanation:
17/8 = 15/DF
DF = 7.06
In circle C, what is mArc F H?
Answer:f
Step-by-step explanation:
Answer: 31 degrees
Step-by-step explanation:
Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone? StartFraction 20 Over 3 EndFraction pi inches cubed 20 pi inches cubed StartFraction 80 Over 3 EndFraction pi inches cubed 80 pi inches cubed
Answer:
20 over 3 pi inches cubed
Step-by-step explanation:
The formula for the volume of a cone is 1/3πr² · h
1. Set up the equation
1/3π2² · 5
2. Solve
1/3π(4)(5)
20/3π in.³
Answer:
20 over 3 pi inches cubed
Step-by-step explanation:
height - 5 in
diameter - 4 in
radius - 2 in (half of diameter)
V = [tex]\pi r^{2} \frac{h}{3}[/tex]
V = [tex]\pi (2)^{2} \frac{5}{3}[/tex]
V = [tex]\pi (4)\frac{5}{3}[/tex]
V = [tex]\pi (\frac{20}{3} )[/tex]
V = [tex]\frac{20}{3} \pi[/tex] in³
The volume of the cone is 20 over 3 pi inches cubed.
Hope that helps.
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?
Answer:
perimeter of a cuboid is 4(L+B+H).
so, L=1m, B=0.4m,H=0.8m
substituting by formula,
4(1+0.4+0.8)
= 4(2.2)
=8.8
AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
3.04 m^2
Step-by-step explanation:
Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY
Answer:
10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damageall are maximum values
Step-by-step explanation:
Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...
The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.
The 20 means it will pay a maximum of $20,000 total to people injured in one accident.
The 5 means that it will pay a maximum of $5,000 in property damage for one accident.
pls i need help 15 points!!!!! The treehouse will be 8 feet off the ground. Peter will hang a rope, with knots tied for footholds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
First, we can figure out how many additional inches of rope are needed. If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.
The formula for finding the length of the rope needed would be 8+2n.
Hope this helps!
Answer:
112 inches
Step-by-step explanation:
Each knot needs 2 inches of rope
There are 2 knots
2*8 = 16 inches
He wants 8 ft from the ground, but he wants it in inches
8 ft* 12 inches per foot = 96 inches for the rope
96+ 16 =112 inches of rope
6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer
Answer:
No solution.
Step-by-step explanation:
[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]
There is no solution to the equation.
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Answer:
121 and 257
Step-by-step explanation:
So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].
Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].
a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !
Answer:
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
Step-by-step explanation:
The solution is,
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
a) ∠D = 90
i.e. ∠A= 90 - 55 = 35
b) similarly,
∠CBD = 90-29
=61
c) m AD is sin55 = AD/40
i.e. AD = 32.77
d) m BC is sin 29 = 22.94/BC
i.e. BC = 47.32
e) m CD is tan 29 = 22.94/CD
i.e. CD = 41.38
f) m BD is cos 55 = BD/40
i.e. BD = 22.94
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
ASAP!! can someone help solve these and include work
Answer:
Below
Step-by-step explanation:
The triangle ABC is a right triangle so we will use the Pythagorian theorem
c^2 =5^2 + 8^2
c^2 = 25 + 64
c^2 = 89
c = 9.43
We khow that the sum of a triangle's angles is 180°
So B+90+58= 180
B+ 148 = 180
B = 180-148
B = 32°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Tan A = opposite/ adjacent
Tan A = 5/12
Find m∠QPR..........
Hey there! :)
Answer:
m∠QPR = 25°.
Step-by-step explanation:
Given:
m∠QPS = 40°
m∠RPS = 8x + 7°
m∠QPR = 9x + 16°
m∠QPS = m∠RPS + m∠QPR, therefore:
40° = 8x + 7° + 9x + 16°
Combine like terms:
40° = 17x + 23°
Subtract 23° from both sides:
17° = 17x°
Divide both sides by 17:
x = 1°
If m∠QPR = 9x + 16°, substitute in 1 for 'x':
9(1) + 16 = 9 + 16 = 25°.
We need to find the value of x.
If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.
Now substitute the measures into the equation.
9x + 16 + 8x + 7 = 40.
Now combine like terms to get 17x + 23 = 40.
Now subtract 23 form both sides to get 17x = 17.
Now divide both sides by 17 to find that x = 1.
Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.
So we have 9(1) + 16 which is 25.
So m<QPR is 25°.
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
If cos x=−6/7, and 90°
Answer: 0.4693877
Step-by-step explanation:
Given that:
cos x=−6/7,
From trigonometry :
Cosx + sinx = 1
Cos2x = cos(x + x)
Recall the double angle identity:
Cos2x = 2cos^2x - 1
Sin2x = 1 - 2sin^2x
Since cosx = - 6/7
Then
Cos2x = 2cos^2x - 1
Cos2x = 2cosx^2 - 1
Cos2x = 2(-6/7)^2 - 1
Cos2x = 2(36/49) - 1
Cos2x = 2 * (72/98) - 1
Cos2x = (2 * 0.7346938) - 1
Cos 2x = ( 1.4693877 - 1)
Cos2x = 0.4693877
I dont understand how they got that awnser
Answer:
its quite simple...
the formula to find volume= width x height x length ( or area x length)
Step-by-step explanation:
of A
width =5 cm height= 9cmof B
width= 3height= 2length of whole prism= 4
Volume (A)= w x h x l
= 5 x 9 x 4
= 180 cm³
volume (B)= w x h x l
= 3 x 2 x 4
= 24 cm³
add both values to get the volume of whole prism = 180 + 24
= 204 cm³
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.
Answer:
This question contains some errors; the correct question is:
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.
The answer is:
(2n) slices of bread for n hikers
Step-by-step explanation:
According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.
Each hiker gets one sandwich
This, n hikers will get n× 1 sandwich
= (n) sandwiches.
If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:
(2 × n) slices of bread
That is, (2n) slices of bread.
The expression is (2n).
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
The graph is missing; however, the question can still be solved
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
[tex]y = mx + b[/tex]
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
[tex]47.84 = 1.55 * 15 + b[/tex]
[tex]47.84 = 23.25 + b[/tex]
Subtract 23.25 from both sides
[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]
[tex]24.59 = b[/tex]
[tex]b = 24.59[/tex]
Solving for the monthly cost for 9 HCF
Here, we have that
[tex]x = Amount\ of\ water = 9[/tex]
[tex]m = Slope = 1.55[/tex]
[tex]b = 24.59[/tex]
Substitute these values in the linear function; [tex]y = mx + b[/tex]
[tex]y = 1.55 * 9 + 24.59[/tex]
[tex]y = 13.95 + 24.59[/tex]
[tex]y = 38.54[/tex]
Hence, the monthly cost for 9 HCF is $38.54
how do you solve this question?
Answer:
[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
for any real x different from 1
[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]
if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)
[tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]
So antiderivative of
[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]
Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT
Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
help me please it will save my life
Answer: 197
Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that
Please help me with this geometry question:((
Answer:
(x + 3.5 ) / (x - 4 ) = 20 / 8
8x + 28 = 20x -80
12x = 108
x = 9
Step-by-step explanation:
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
Simplify
(5/7)a²+13-(5/7)a-3
Answer:
c
Step-by-step explanation:
combine like terms:
5/7a^2+-5/7a+10
HOPE THIS HELPS!!!!!!:)
What is 21 multiplied by 80
Answer:
1680
Step-by-step explanation:
you can use a calculator or do the normal operation
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
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